Daily Math Puzzle: 2026-07-27
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2026-07-27
Dr. Aris is conducting an experiment to measure the quantum entanglement decay rate of a new exotic particle. Her detector records a specific 'stability index' value every hour. The readings so far are: 1, 6, 15, 28, 45. Based on this sequence, what 'stability index' value should Dr. Aris expect to see in the next hour?
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Solution
66 — This is a second-order arithmetic progression. To find the pattern, first, calculate the differences between consecutive terms:
6 - 1 = 5
15 - 6 = 9
28 - 15 = 13
45 - 28 = 17
Next, find the differences between these new sequence of numbers (the second-order differences):
9 - 5 = 4
13 - 9 = 4
17 - 13 = 4
Since the second-order differences are constant (4), the next difference in the first sequence of differences will be 17 + 4 = 21.
Finally, add this new difference to the last term of the original sequence to find the next 'stability index' value:
45 + 21 = 66.
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